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Finding the Fourth Proportional to 294.51, 405.94 and 224.49

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Solution

The fourth proportional to 294.51, 405.94 and 224.49 is: 309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.51 : 405.94 = 224.49 : x
  2. Step 2: Convert to fraction form
    294.51/405.94 = 224.49/x
  3. Step 3: Cross multiply
    294.51x = 405.94 × 224.49
  4. Step 4: Simplify right side
    294.51x = 91,129.47
  5. Step 5: Solve for x
    x = 91,129.47/294.51
  6. Step 6: Final answer
    x = 309.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.